A bag contains 2 white marbles , 4 blue marbels , and 6 red marbles . A marble is drawn at random from the bag . What is the probability that
it is black ?

Answer

To find the probability of drawing a black marble from the bag, we can follow these steps:

### Step 1: Identify the total number of marbles in the bag.
- The bag contains:
- 2 white marbles
- 4 blue marbles
- 6 red marbles

**Total number of marbles = 2 (white) + 4 (blue) + 6 (red) = 12 marbles.**

### Step 2: Determine the number of favorable outcomes for drawing a black marble.
- In this case, we need to find the number of black marbles in the bag.
- Since there are no black marbles present in the bag, the number of favorable outcomes is 0.

**Number of black marbles = 0.**

### Step 3: Calculate the probability of drawing a black marble.
- The probability \( P \) of an event is given by the formula:

\[ P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

- Substituting the values we found:

\[ P(\text{drawing a black marble}) = \frac{0}{12} = 0 \]

### Conclusion:
The probability of drawing a black marble from the bag is 0.

---